GCD of 152, 844, 109, 524 Calculator

Given Input numbers are 152, 844, 109, 524

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 152, 844, 109, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 844, 109, 524 is 1.

Therefore, GCD of numbers 152, 844, 109, 524 is 1

Given Input Data is 152, 844, 109, 524

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 109 is 109

Prime Factorization of 524 is 2 x 2 x 131

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(152, 844) = 32072

GCD(152, 844) = ( 152 x 844 ) / 32072

GCD(152, 844) = 128288 / 32072

GCD(152, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 109

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

GCD(4, 109) = 436 / 436

GCD(4, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 152, 844, 109, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 812, 206, 164
• GCD of 754, 141, 855, 101
• GCD of 636, 756, 856, 527
• GCD of 662, 139, 770, 651
• GCD of 527, 299, 616, 105

1. What is the GCD of 152, 844, 109, 524?

GCD of 152, 844, 109, 524 is 1

2. Where do I get the detailed procedure to find GCD of 152, 844, 109, 524?

You can find a detailed procedure to find GCD of 152, 844, 109, 524 on our page.

3. How to find GCD of 152, 844, 109, 524 on a calculator?

You can find the GCD of 152, 844, 109, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.